is stable with respect to perturbation from above if, for any sequence
\(\varepsilon _{n}\rightarrow 0\) , and any sequence of \(u_{\varepsilon _{n}}\) 
solution of (REF ) (with \(\varepsilon _{n}\)  as a parameter)
then \(u_{\varepsilon _{n}}\)  converges, up to subsequence, to a solution
\(u_{0}\)  of (REF ) in \(C^{2}(M)\) . Since by our result
we showed a family of solutions which blows up while \(\varepsilon \rightarrow 0\) ,
then the Yamabe boundary problem is not stable from perturbation of
the critical exponent from above. Notice that in the same spirit the
result of Almaraz in [1]} states also that the Yamabe boundary
problem is stable with respect of perturbation from below of the critical
exponent.
